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Finding the Fourth Proportional to 288,870.09, 433,217.65 and 78,480.69

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Solution

The fourth proportional to 288,870.09, 433,217.65 and 78,480.69 is: 117,697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,870.09 : 433,217.65 = 78,480.69 : x
  2. Step 2: Convert to fraction form
    288,870.09/433,217.65 = 78,480.69/x
  3. Step 3: Cross multiply
    288,870.09x = 433,217.65 × 78,480.69
  4. Step 4: Simplify right side
    288,870.09x = 33,999,220,092.18
  5. Step 5: Solve for x
    x = 33,999,220,092.18/288,870.09
  6. Step 6: Final answer
    x = 117,697.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.